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Simplifying 5w + 7 + -2(-5w + -1) = 3(w + -3) Reorder the terms: 5w + 7 + -2(-1 + -5w) = 3(w + -3) 5w + 7 + (-1 * -2 + -5w * -2) = 3(w + -3) 5w + 7 + (2 + 10w) = 3(w + -3) Reorder the terms: 7 + 2 + 5w + 10w = 3(w + -3) Combine like terms: 7 + 2 = 9 9 + 5w + 10w = 3(w + -3) Combine like terms: 5w + 10w = 15w 9 + 15w = 3(w + -3) Reorder the terms: 9 + 15w = 3(-3 + w) 9 + 15w = (-3 * 3 + w * 3) 9 + 15w = (-9 + 3w) Solving 9 + 15w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 15w + -3w = -9 + 3w + -3w Combine like terms: 15w + -3w = 12w 9 + 12w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 12w = -9 + 0 9 + 12w = -9 Add '-9' to each side of the equation. 9 + -9 + 12w = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 12w = -9 + -9 12w = -9 + -9 Combine like terms: -9 + -9 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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